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New Zero-knowledge Undeniable Signatures - Forgery of Signature Equivalent to Factorisation

Mao, Wenbo

HPL-2001-36

Keyword(s): undeniable signatures; efficient zero-knowledge protocols

Abstract: We propose a new zero-knowledge undeniable signature scheme which is based on the intractability of computing high-order even powers modulo a composite. The new scheme has a number of desirable properties: (i) forgery of a signature (including existential forgery) is proven to be equivalent to factorisation, (ii) perfect zero- knowledge, (iii) efficient protocols for signature verification and non-signature denial: both measured by O (log k) (multiplications) where 1/k bounds the probability of error. For a denial protocol, this performance is unprecedented.

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